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Finding the Third Proportional to 64,008 and 136,750

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Solution

The third proportional to 64,008 and 136,750 is: 292,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,008 : 136,750 = 136,750 : x
  2. Step 2: Convert to fraction form
    64,008/136,750 = 136,750/x
  3. Step 3: Cross multiply
    64,008x = 136,750 × 136,750
  4. Step 4: Simplify right side
    64,008x = 18,700,562,500
  5. Step 5: Solve for x
    x = 18,700,562,500/64,008
  6. Step 6: Final answer
    x = 292,159.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.