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Finding the Third Proportional to 61,262 and 97,726

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Solution

The third proportional to 61,262 and 97,726 is: 155,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,262 : 97,726 = 97,726 : x
  2. Step 2: Convert to fraction form
    61,262/97,726 = 97,726/x
  3. Step 3: Cross multiply
    61,262x = 97,726 × 97,726
  4. Step 4: Simplify right side
    61,262x = 9,550,371,076
  5. Step 5: Solve for x
    x = 9,550,371,076/61,262
  6. Step 6: Final answer
    x = 155,893.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.