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Finding the Third Proportional to 60,129.84 and 130,506.19

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Solution

The third proportional to 60,129.84 and 130,506.19 is: 283,251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,129.84 : 130,506.19 = 130,506.19 : x
  2. Step 2: Convert to fraction form
    60,129.84/130,506.19 = 130,506.19/x
  3. Step 3: Cross multiply
    60,129.84x = 130,506.19 × 130,506.19
  4. Step 4: Simplify right side
    60,129.84x = 17,031,864,975.79
  5. Step 5: Solve for x
    x = 17,031,864,975.79/60,129.84
  6. Step 6: Final answer
    x = 283,251.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.