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Finding the Third Proportional to 61,798 and 93,882

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Solution

The third proportional to 61,798 and 93,882 is: 142,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,798 : 93,882 = 93,882 : x
  2. Step 2: Convert to fraction form
    61,798/93,882 = 93,882/x
  3. Step 3: Cross multiply
    61,798x = 93,882 × 93,882
  4. Step 4: Simplify right side
    61,798x = 8,813,829,924
  5. Step 5: Solve for x
    x = 8,813,829,924/61,798
  6. Step 6: Final answer
    x = 142,623.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.