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Finding the Third Proportional to 64,652.06 and 100,341.28

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Solution

The third proportional to 64,652.06 and 100,341.28 is: 155,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,652.06 : 100,341.28 = 100,341.28 : x
  2. Step 2: Convert to fraction form
    64,652.06/100,341.28 = 100,341.28/x
  3. Step 3: Cross multiply
    64,652.06x = 100,341.28 × 100,341.28
  4. Step 4: Simplify right side
    64,652.06x = 10,068,372,722.89
  5. Step 5: Solve for x
    x = 10,068,372,722.89/64,652.06
  6. Step 6: Final answer
    x = 155,731.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.