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Finding the Third Proportional to 62,535 and 97,006.50

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Solution

The third proportional to 62,535 and 97,006.50 is: 150,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,535 : 97,006.50 = 97,006.50 : x
  2. Step 2: Convert to fraction form
    62,535/97,006.50 = 97,006.50/x
  3. Step 3: Cross multiply
    62,535x = 97,006.50 × 97,006.50
  4. Step 4: Simplify right side
    62,535x = 9,410,261,042.25
  5. Step 5: Solve for x
    x = 9,410,261,042.25/62,535
  6. Step 6: Final answer
    x = 150,479.91

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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.