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Finding the Third Proportional to 65,539.50 and 143,344

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Solution

The third proportional to 65,539.50 and 143,344 is: 313,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,539.50 : 143,344 = 143,344 : x
  2. Step 2: Convert to fraction form
    65,539.50/143,344 = 143,344/x
  3. Step 3: Cross multiply
    65,539.50x = 143,344 × 143,344
  4. Step 4: Simplify right side
    65,539.50x = 20,547,502,336
  5. Step 5: Solve for x
    x = 20,547,502,336/65,539.50
  6. Step 6: Final answer
    x = 313,513.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.