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Finding the Third Proportional to 117,031 and 176,581

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Solution

The third proportional to 117,031 and 176,581 is: 266,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,031 : 176,581 = 176,581 : x
  2. Step 2: Convert to fraction form
    117,031/176,581 = 176,581/x
  3. Step 3: Cross multiply
    117,031x = 176,581 × 176,581
  4. Step 4: Simplify right side
    117,031x = 31,180,849,561
  5. Step 5: Solve for x
    x = 31,180,849,561/117,031
  6. Step 6: Final answer
    x = 266,432.39

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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.