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Finding the Third Proportional to 69,411 and 152,070

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Solution

The third proportional to 69,411 and 152,070 is: 333,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,411 : 152,070 = 152,070 : x
  2. Step 2: Convert to fraction form
    69,411/152,070 = 152,070/x
  3. Step 3: Cross multiply
    69,411x = 152,070 × 152,070
  4. Step 4: Simplify right side
    69,411x = 23,125,284,900
  5. Step 5: Solve for x
    x = 23,125,284,900/69,411
  6. Step 6: Final answer
    x = 333,164.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.