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Finding the Third Proportional to 110,038.50 and 161,929.13

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Solution

The third proportional to 110,038.50 and 161,929.13 is: 238,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,038.50 : 161,929.13 = 161,929.13 : x
  2. Step 2: Convert to fraction form
    110,038.50/161,929.13 = 161,929.13/x
  3. Step 3: Cross multiply
    110,038.50x = 161,929.13 × 161,929.13
  4. Step 4: Simplify right side
    110,038.50x = 26,221,041,523.27
  5. Step 5: Solve for x
    x = 26,221,041,523.27/110,038.50
  6. Step 6: Final answer
    x = 238,289.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.