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Finding the Third Proportional to 119,657 and 174,292

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Solution

The third proportional to 119,657 and 174,292 is: 253,873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,657 : 174,292 = 174,292 : x
  2. Step 2: Convert to fraction form
    119,657/174,292 = 174,292/x
  3. Step 3: Cross multiply
    119,657x = 174,292 × 174,292
  4. Step 4: Simplify right side
    119,657x = 30,377,701,264
  5. Step 5: Solve for x
    x = 30,377,701,264/119,657
  6. Step 6: Final answer
    x = 253,873.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.