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Finding the Third Proportional to 64,934.16 and 97,591.08

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Solution

The third proportional to 64,934.16 and 97,591.08 is: 146,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,934.16 : 97,591.08 = 97,591.08 : x
  2. Step 2: Convert to fraction form
    64,934.16/97,591.08 = 97,591.08/x
  3. Step 3: Cross multiply
    64,934.16x = 97,591.08 × 97,591.08
  4. Step 4: Simplify right side
    64,934.16x = 9,524,018,529.60
  5. Step 5: Solve for x
    x = 9,524,018,529.60/64,934.16
  6. Step 6: Final answer
    x = 146,671.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.