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Finding the Third Proportional to 65,547.56 and 143,943.75

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Solution

The third proportional to 65,547.56 and 143,943.75 is: 316,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,547.56 : 143,943.75 = 143,943.75 : x
  2. Step 2: Convert to fraction form
    65,547.56/143,943.75 = 143,943.75/x
  3. Step 3: Cross multiply
    65,547.56x = 143,943.75 × 143,943.75
  4. Step 4: Simplify right side
    65,547.56x = 20,719,803,164.06
  5. Step 5: Solve for x
    x = 20,719,803,164.06/65,547.56
  6. Step 6: Final answer
    x = 316,103.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.