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Finding the Third Proportional to 65,842.59 and 144,501.06

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Solution

The third proportional to 65,842.59 and 144,501.06 is: 317,128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,842.59 : 144,501.06 = 144,501.06 : x
  2. Step 2: Convert to fraction form
    65,842.59/144,501.06 = 144,501.06/x
  3. Step 3: Cross multiply
    65,842.59x = 144,501.06 × 144,501.06
  4. Step 4: Simplify right side
    65,842.59x = 20,880,557,063.63
  5. Step 5: Solve for x
    x = 20,880,557,063.63/65,842.59
  6. Step 6: Final answer
    x = 317,128.41

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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.