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Finding the Third Proportional to 107,730 and 144,919.13

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Solution

The third proportional to 107,730 and 144,919.13 is: 194,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,730 : 144,919.13 = 144,919.13 : x
  2. Step 2: Convert to fraction form
    107,730/144,919.13 = 144,919.13/x
  3. Step 3: Cross multiply
    107,730x = 144,919.13 × 144,919.13
  4. Step 4: Simplify right side
    107,730x = 21,001,552,790.77
  5. Step 5: Solve for x
    x = 21,001,552,790.77/107,730
  6. Step 6: Final answer
    x = 194,946.19

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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.