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Finding the Third Proportional to 123,412.50 and 265,527

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Solution

The third proportional to 123,412.50 and 265,527 is: 571,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,412.50 : 265,527 = 265,527 : x
  2. Step 2: Convert to fraction form
    123,412.50/265,527 = 265,527/x
  3. Step 3: Cross multiply
    123,412.50x = 265,527 × 265,527
  4. Step 4: Simplify right side
    123,412.50x = 70,504,587,729
  5. Step 5: Solve for x
    x = 70,504,587,729/123,412.50
  6. Step 6: Final answer
    x = 571,292.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.