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Finding the Third Proportional to 61,807 and 88,498

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Solution

The third proportional to 61,807 and 88,498 is: 126,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,807 : 88,498 = 88,498 : x
  2. Step 2: Convert to fraction form
    61,807/88,498 = 88,498/x
  3. Step 3: Cross multiply
    61,807x = 88,498 × 88,498
  4. Step 4: Simplify right side
    61,807x = 7,831,896,004
  5. Step 5: Solve for x
    x = 7,831,896,004/61,807
  6. Step 6: Final answer
    x = 126,715.36

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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.