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Finding the Third Proportional to 78,549.75 and 175,547.25

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Solution

The third proportional to 78,549.75 and 175,547.25 is: 392,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,549.75 : 175,547.25 = 175,547.25 : x
  2. Step 2: Convert to fraction form
    78,549.75/175,547.25 = 175,547.25/x
  3. Step 3: Cross multiply
    78,549.75x = 175,547.25 × 175,547.25
  4. Step 4: Simplify right side
    78,549.75x = 30,816,836,982.56
  5. Step 5: Solve for x
    x = 30,816,836,982.56/78,549.75
  6. Step 6: Final answer
    x = 392,322.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.