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Finding the Third Proportional to 70,128 and 94,488

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Solution

The third proportional to 70,128 and 94,488 is: 127,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,128 : 94,488 = 94,488 : x
  2. Step 2: Convert to fraction form
    70,128/94,488 = 94,488/x
  3. Step 3: Cross multiply
    70,128x = 94,488 × 94,488
  4. Step 4: Simplify right side
    70,128x = 8,927,982,144
  5. Step 5: Solve for x
    x = 8,927,982,144/70,128
  6. Step 6: Final answer
    x = 127,309.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.