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Finding the Third Proportional to 64,531.13 and 151,824.75

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Solution

The third proportional to 64,531.13 and 151,824.75 is: 357,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,531.13 : 151,824.75 = 151,824.75 : x
  2. Step 2: Convert to fraction form
    64,531.13/151,824.75 = 151,824.75/x
  3. Step 3: Cross multiply
    64,531.13x = 151,824.75 × 151,824.75
  4. Step 4: Simplify right side
    64,531.13x = 23,050,754,712.56
  5. Step 5: Solve for x
    x = 23,050,754,712.56/64,531.13
  6. Step 6: Final answer
    x = 357,203.67

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.