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Finding the Third Proportional to 129,246 and 174,581

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Solution

The third proportional to 129,246 and 174,581 is: 235,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,246 : 174,581 = 174,581 : x
  2. Step 2: Convert to fraction form
    129,246/174,581 = 174,581/x
  3. Step 3: Cross multiply
    129,246x = 174,581 × 174,581
  4. Step 4: Simplify right side
    129,246x = 30,478,525,561
  5. Step 5: Solve for x
    x = 30,478,525,561/129,246
  6. Step 6: Final answer
    x = 235,817.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.