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Finding the Third Proportional to 99,319.50 and 127,521

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Solution

The third proportional to 99,319.50 and 127,521 is: 163,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,319.50 : 127,521 = 127,521 : x
  2. Step 2: Convert to fraction form
    99,319.50/127,521 = 127,521/x
  3. Step 3: Cross multiply
    99,319.50x = 127,521 × 127,521
  4. Step 4: Simplify right side
    99,319.50x = 16,261,605,441
  5. Step 5: Solve for x
    x = 16,261,605,441/99,319.50
  6. Step 6: Final answer
    x = 163,730.24

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.