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Finding the Third Proportional to 62,266.50 and 97,288.13

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Solution

The third proportional to 62,266.50 and 97,288.13 is: 152,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,266.50 : 97,288.13 = 97,288.13 : x
  2. Step 2: Convert to fraction form
    62,266.50/97,288.13 = 97,288.13/x
  3. Step 3: Cross multiply
    62,266.50x = 97,288.13 × 97,288.13
  4. Step 4: Simplify right side
    62,266.50x = 9,464,979,266.02
  5. Step 5: Solve for x
    x = 9,464,979,266.02/62,266.50
  6. Step 6: Final answer
    x = 152,007.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.