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Finding the Third Proportional to 66,116.75 and 145,354

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Solution

The third proportional to 66,116.75 and 145,354 is: 319,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,116.75 : 145,354 = 145,354 : x
  2. Step 2: Convert to fraction form
    66,116.75/145,354 = 145,354/x
  3. Step 3: Cross multiply
    66,116.75x = 145,354 × 145,354
  4. Step 4: Simplify right side
    66,116.75x = 21,127,785,316
  5. Step 5: Solve for x
    x = 21,127,785,316/66,116.75
  6. Step 6: Final answer
    x = 319,552.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.