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Finding the Third Proportional to 95,580 and 147,381

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Solution

The third proportional to 95,580 and 147,381 is: 227,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,580 : 147,381 = 147,381 : x
  2. Step 2: Convert to fraction form
    95,580/147,381 = 147,381/x
  3. Step 3: Cross multiply
    95,580x = 147,381 × 147,381
  4. Step 4: Simplify right side
    95,580x = 21,721,159,161
  5. Step 5: Solve for x
    x = 21,721,159,161/95,580
  6. Step 6: Final answer
    x = 227,256.32

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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.