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Finding the Third Proportional to 61,457 and 92,751

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Solution

The third proportional to 61,457 and 92,751 is: 139,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,457 : 92,751 = 92,751 : x
  2. Step 2: Convert to fraction form
    61,457/92,751 = 92,751/x
  3. Step 3: Cross multiply
    61,457x = 92,751 × 92,751
  4. Step 4: Simplify right side
    61,457x = 8,602,748,001
  5. Step 5: Solve for x
    x = 8,602,748,001/61,457
  6. Step 6: Final answer
    x = 139,979.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.