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Finding the Third Proportional to 61,726 and 93,454

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Solution

The third proportional to 61,726 and 93,454 is: 141,490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,726 : 93,454 = 93,454 : x
  2. Step 2: Convert to fraction form
    61,726/93,454 = 93,454/x
  3. Step 3: Cross multiply
    61,726x = 93,454 × 93,454
  4. Step 4: Simplify right side
    61,726x = 8,733,650,116
  5. Step 5: Solve for x
    x = 8,733,650,116/61,726
  6. Step 6: Final answer
    x = 141,490.62

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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.