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Finding the Third Proportional to 65,526.75 and 154,036.13

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Solution

The third proportional to 65,526.75 and 154,036.13 is: 362,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,526.75 : 154,036.13 = 154,036.13 : x
  2. Step 2: Convert to fraction form
    65,526.75/154,036.13 = 154,036.13/x
  3. Step 3: Cross multiply
    65,526.75x = 154,036.13 × 154,036.13
  4. Step 4: Simplify right side
    65,526.75x = 23,727,127,805.02
  5. Step 5: Solve for x
    x = 23,727,127,805.02/65,526.75
  6. Step 6: Final answer
    x = 362,098.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.