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Finding the Third Proportional to 61,457 and 92,748

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Solution

The third proportional to 61,457 and 92,748 is: 139,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,457 : 92,748 = 92,748 : x
  2. Step 2: Convert to fraction form
    61,457/92,748 = 92,748/x
  3. Step 3: Cross multiply
    61,457x = 92,748 × 92,748
  4. Step 4: Simplify right side
    61,457x = 8,602,191,504
  5. Step 5: Solve for x
    x = 8,602,191,504/61,457
  6. Step 6: Final answer
    x = 139,970.90

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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.