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Finding the Third Proportional to 61,526.25 and 133,724.25

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Solution

The third proportional to 61,526.25 and 133,724.25 is: 290,643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,526.25 : 133,724.25 = 133,724.25 : x
  2. Step 2: Convert to fraction form
    61,526.25/133,724.25 = 133,724.25/x
  3. Step 3: Cross multiply
    61,526.25x = 133,724.25 × 133,724.25
  4. Step 4: Simplify right side
    61,526.25x = 17,882,175,038.06
  5. Step 5: Solve for x
    x = 17,882,175,038.06/61,526.25
  6. Step 6: Final answer
    x = 290,643.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.