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Finding the Third Proportional to 61,470 and 134,112

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Solution

The third proportional to 61,470 and 134,112 is: 292,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,470 : 134,112 = 134,112 : x
  2. Step 2: Convert to fraction form
    61,470/134,112 = 134,112/x
  3. Step 3: Cross multiply
    61,470x = 134,112 × 134,112
  4. Step 4: Simplify right side
    61,470x = 17,986,028,544
  5. Step 5: Solve for x
    x = 17,986,028,544/61,470
  6. Step 6: Final answer
    x = 292,598.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.