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Finding the Third Proportional to 96,524 and 151,572

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Solution

The third proportional to 96,524 and 151,572 is: 238,014.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,524 : 151,572 = 151,572 : x
  2. Step 2: Convert to fraction form
    96,524/151,572 = 151,572/x
  3. Step 3: Cross multiply
    96,524x = 151,572 × 151,572
  4. Step 4: Simplify right side
    96,524x = 22,974,071,184
  5. Step 5: Solve for x
    x = 22,974,071,184/96,524
  6. Step 6: Final answer
    x = 238,014.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.