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Finding the Third Proportional to 64,042 and 148,877

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Solution

The third proportional to 64,042 and 148,877 is: 346,091.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,042 : 148,877 = 148,877 : x
  2. Step 2: Convert to fraction form
    64,042/148,877 = 148,877/x
  3. Step 3: Cross multiply
    64,042x = 148,877 × 148,877
  4. Step 4: Simplify right side
    64,042x = 22,164,361,129
  5. Step 5: Solve for x
    x = 22,164,361,129/64,042
  6. Step 6: Final answer
    x = 346,091.02

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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.