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Finding the Third Proportional to 99,132.61 and 159,582.66

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Solution

The third proportional to 99,132.61 and 159,582.66 is: 256,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,132.61 : 159,582.66 = 159,582.66 : x
  2. Step 2: Convert to fraction form
    99,132.61/159,582.66 = 159,582.66/x
  3. Step 3: Cross multiply
    99,132.61x = 159,582.66 × 159,582.66
  4. Step 4: Simplify right side
    99,132.61x = 25,466,624,175.81
  5. Step 5: Solve for x
    x = 25,466,624,175.81/99,132.61
  6. Step 6: Final answer
    x = 256,894.52

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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.