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Finding the Third Proportional to 61,748 and 92,252

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Solution

The third proportional to 61,748 and 92,252 is: 137,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,748 : 92,252 = 92,252 : x
  2. Step 2: Convert to fraction form
    61,748/92,252 = 92,252/x
  3. Step 3: Cross multiply
    61,748x = 92,252 × 92,252
  4. Step 4: Simplify right side
    61,748x = 8,510,431,504
  5. Step 5: Solve for x
    x = 8,510,431,504/61,748
  6. Step 6: Final answer
    x = 137,825.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.