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Finding the Third Proportional to 59,672.53 and 130,416.75

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Solution

The third proportional to 59,672.53 and 130,416.75 is: 285,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,672.53 : 130,416.75 = 130,416.75 : x
  2. Step 2: Convert to fraction form
    59,672.53/130,416.75 = 130,416.75/x
  3. Step 3: Cross multiply
    59,672.53x = 130,416.75 × 130,416.75
  4. Step 4: Simplify right side
    59,672.53x = 17,008,528,680.56
  5. Step 5: Solve for x
    x = 17,008,528,680.56/59,672.53
  6. Step 6: Final answer
    x = 285,031.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.