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Finding the Third Proportional to 69,032.25 and 148,937.63

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Solution

The third proportional to 69,032.25 and 148,937.63 is: 321,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,032.25 : 148,937.63 = 148,937.63 : x
  2. Step 2: Convert to fraction form
    69,032.25/148,937.63 = 148,937.63/x
  3. Step 3: Cross multiply
    69,032.25x = 148,937.63 × 148,937.63
  4. Step 4: Simplify right side
    69,032.25x = 22,182,416,140.64
  5. Step 5: Solve for x
    x = 22,182,416,140.64/69,032.25
  6. Step 6: Final answer
    x = 321,334.10

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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.