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Finding the Third Proportional to 64,077.01 and 148,343.43

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Solution

The third proportional to 64,077.01 and 148,343.43 is: 343,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,077.01 : 148,343.43 = 148,343.43 : x
  2. Step 2: Convert to fraction form
    64,077.01/148,343.43 = 148,343.43/x
  3. Step 3: Cross multiply
    64,077.01x = 148,343.43 × 148,343.43
  4. Step 4: Simplify right side
    64,077.01x = 22,005,773,710.92
  5. Step 5: Solve for x
    x = 22,005,773,710.92/64,077.01
  6. Step 6: Final answer
    x = 343,426.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.