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Finding the Third Proportional to 75,531 and 176,407.50

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Solution

The third proportional to 75,531 and 176,407.50 is: 412,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,531 : 176,407.50 = 176,407.50 : x
  2. Step 2: Convert to fraction form
    75,531/176,407.50 = 176,407.50/x
  3. Step 3: Cross multiply
    75,531x = 176,407.50 × 176,407.50
  4. Step 4: Simplify right side
    75,531x = 31,119,606,056.25
  5. Step 5: Solve for x
    x = 31,119,606,056.25/75,531
  6. Step 6: Final answer
    x = 412,011.04

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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.