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Finding the Third Proportional to 109,539 and 176,356.50

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Solution

The third proportional to 109,539 and 176,356.50 is: 283,931.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,539 : 176,356.50 = 176,356.50 : x
  2. Step 2: Convert to fraction form
    109,539/176,356.50 = 176,356.50/x
  3. Step 3: Cross multiply
    109,539x = 176,356.50 × 176,356.50
  4. Step 4: Simplify right side
    109,539x = 31,101,615,092.25
  5. Step 5: Solve for x
    x = 31,101,615,092.25/109,539
  6. Step 6: Final answer
    x = 283,931.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.