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Finding the Third Proportional to 69,951 and 151,070.25

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Solution

The third proportional to 69,951 and 151,070.25 is: 326,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,951 : 151,070.25 = 151,070.25 : x
  2. Step 2: Convert to fraction form
    69,951/151,070.25 = 151,070.25/x
  3. Step 3: Cross multiply
    69,951x = 151,070.25 × 151,070.25
  4. Step 4: Simplify right side
    69,951x = 22,822,220,435.06
  5. Step 5: Solve for x
    x = 22,822,220,435.06/69,951
  6. Step 6: Final answer
    x = 326,260.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.