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Finding the Third Proportional to 74,864.50 and 110,094.50

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Solution

The third proportional to 74,864.50 and 110,094.50 is: 161,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,864.50 : 110,094.50 = 110,094.50 : x
  2. Step 2: Convert to fraction form
    74,864.50/110,094.50 = 110,094.50/x
  3. Step 3: Cross multiply
    74,864.50x = 110,094.50 × 110,094.50
  4. Step 4: Simplify right side
    74,864.50x = 12,120,798,930.25
  5. Step 5: Solve for x
    x = 12,120,798,930.25/74,864.50
  6. Step 6: Final answer
    x = 161,903.16

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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.