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Finding the Third Proportional to 62,552 and 97,001.50

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Solution

The third proportional to 62,552 and 97,001.50 is: 150,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,552 : 97,001.50 = 97,001.50 : x
  2. Step 2: Convert to fraction form
    62,552/97,001.50 = 97,001.50/x
  3. Step 3: Cross multiply
    62,552x = 97,001.50 × 97,001.50
  4. Step 4: Simplify right side
    62,552x = 9,409,291,002.25
  5. Step 5: Solve for x
    x = 9,409,291,002.25/62,552
  6. Step 6: Final answer
    x = 150,423.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.