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Finding the Third Proportional to 99,740 and 134,382

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Solution

The third proportional to 99,740 and 134,382 is: 181,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,740 : 134,382 = 134,382 : x
  2. Step 2: Convert to fraction form
    99,740/134,382 = 134,382/x
  3. Step 3: Cross multiply
    99,740x = 134,382 × 134,382
  4. Step 4: Simplify right side
    99,740x = 18,058,521,924
  5. Step 5: Solve for x
    x = 18,058,521,924/99,740
  6. Step 6: Final answer
    x = 181,055.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.