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Finding the Third Proportional to 69,320.25 and 141,918.47

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Solution

The third proportional to 69,320.25 and 141,918.47 is: 290,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,320.25 : 141,918.47 = 141,918.47 : x
  2. Step 2: Convert to fraction form
    69,320.25/141,918.47 = 141,918.47/x
  3. Step 3: Cross multiply
    69,320.25x = 141,918.47 × 141,918.47
  4. Step 4: Simplify right side
    69,320.25x = 20,140,851,772.34
  5. Step 5: Solve for x
    x = 20,140,851,772.34/69,320.25
  6. Step 6: Final answer
    x = 290,547.88

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.