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Finding the Third Proportional to 75,522 and 176,385

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Solution

The third proportional to 75,522 and 176,385 is: 411,955.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,522 : 176,385 = 176,385 : x
  2. Step 2: Convert to fraction form
    75,522/176,385 = 176,385/x
  3. Step 3: Cross multiply
    75,522x = 176,385 × 176,385
  4. Step 4: Simplify right side
    75,522x = 31,111,668,225
  5. Step 5: Solve for x
    x = 31,111,668,225/75,522
  6. Step 6: Final answer
    x = 411,955.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.