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Finding the Third Proportional to 61,545 and 88,002

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Solution

The third proportional to 61,545 and 88,002 is: 125,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,545 : 88,002 = 88,002 : x
  2. Step 2: Convert to fraction form
    61,545/88,002 = 88,002/x
  3. Step 3: Cross multiply
    61,545x = 88,002 × 88,002
  4. Step 4: Simplify right side
    61,545x = 7,744,352,004
  5. Step 5: Solve for x
    x = 7,744,352,004/61,545
  6. Step 6: Final answer
    x = 125,832.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.