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Finding the Third Proportional to 127,756.13 and 268,754.06

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Solution

The third proportional to 127,756.13 and 268,754.06 is: 565,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,756.13 : 268,754.06 = 268,754.06 : x
  2. Step 2: Convert to fraction form
    127,756.13/268,754.06 = 268,754.06/x
  3. Step 3: Cross multiply
    127,756.13x = 268,754.06 × 268,754.06
  4. Step 4: Simplify right side
    127,756.13x = 72,228,746,110.25
  5. Step 5: Solve for x
    x = 72,228,746,110.25/127,756.13
  6. Step 6: Final answer
    x = 565,364.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.