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Finding the Third Proportional to 103,762.13 and 145,720.69

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Solution

The third proportional to 103,762.13 and 145,720.69 is: 204,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,762.13 : 145,720.69 = 145,720.69 : x
  2. Step 2: Convert to fraction form
    103,762.13/145,720.69 = 145,720.69/x
  3. Step 3: Cross multiply
    103,762.13x = 145,720.69 × 145,720.69
  4. Step 4: Simplify right side
    103,762.13x = 21,234,518,765.47
  5. Step 5: Solve for x
    x = 21,234,518,765.47/103,762.13
  6. Step 6: Final answer
    x = 204,646.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.