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Finding the Third Proportional to 98,880 and 151,488

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Solution

The third proportional to 98,880 and 151,488 is: 232,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,880 : 151,488 = 151,488 : x
  2. Step 2: Convert to fraction form
    98,880/151,488 = 151,488/x
  3. Step 3: Cross multiply
    98,880x = 151,488 × 151,488
  4. Step 4: Simplify right side
    98,880x = 22,948,614,144
  5. Step 5: Solve for x
    x = 22,948,614,144/98,880
  6. Step 6: Final answer
    x = 232,085.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.