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Finding the Third Proportional to 64,407 and 102,549.75

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Solution

The third proportional to 64,407 and 102,549.75 is: 163,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,407 : 102,549.75 = 102,549.75 : x
  2. Step 2: Convert to fraction form
    64,407/102,549.75 = 102,549.75/x
  3. Step 3: Cross multiply
    64,407x = 102,549.75 × 102,549.75
  4. Step 4: Simplify right side
    64,407x = 10,516,451,225.06
  5. Step 5: Solve for x
    x = 10,516,451,225.06/64,407
  6. Step 6: Final answer
    x = 163,281.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.