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Finding the Third Proportional to 62,985 and 88,057

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Solution

The third proportional to 62,985 and 88,057 is: 123,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,985 : 88,057 = 88,057 : x
  2. Step 2: Convert to fraction form
    62,985/88,057 = 88,057/x
  3. Step 3: Cross multiply
    62,985x = 88,057 × 88,057
  4. Step 4: Simplify right side
    62,985x = 7,754,035,249
  5. Step 5: Solve for x
    x = 7,754,035,249/62,985
  6. Step 6: Final answer
    x = 123,109.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.