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Finding the Third Proportional to 109,083 and 160,033

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Solution

The third proportional to 109,083 and 160,033 is: 234,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,083 : 160,033 = 160,033 : x
  2. Step 2: Convert to fraction form
    109,083/160,033 = 160,033/x
  3. Step 3: Cross multiply
    109,083x = 160,033 × 160,033
  4. Step 4: Simplify right side
    109,083x = 25,610,561,089
  5. Step 5: Solve for x
    x = 25,610,561,089/109,083
  6. Step 6: Final answer
    x = 234,780.50

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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.