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Finding the Third Proportional to 98,445 and 151,502

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Solution

The third proportional to 98,445 and 151,502 is: 233,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,445 : 151,502 = 151,502 : x
  2. Step 2: Convert to fraction form
    98,445/151,502 = 151,502/x
  3. Step 3: Cross multiply
    98,445x = 151,502 × 151,502
  4. Step 4: Simplify right side
    98,445x = 22,952,856,004
  5. Step 5: Solve for x
    x = 22,952,856,004/98,445
  6. Step 6: Final answer
    x = 233,154.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.