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Finding the Third Proportional to 65,409.75 and 100,666.13

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Solution

The third proportional to 65,409.75 and 100,666.13 is: 154,925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,409.75 : 100,666.13 = 100,666.13 : x
  2. Step 2: Convert to fraction form
    65,409.75/100,666.13 = 100,666.13/x
  3. Step 3: Cross multiply
    65,409.75x = 100,666.13 × 100,666.13
  4. Step 4: Simplify right side
    65,409.75x = 10,133,668,722.52
  5. Step 5: Solve for x
    x = 10,133,668,722.52/65,409.75
  6. Step 6: Final answer
    x = 154,925.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.