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Finding the Third Proportional to 65,842.58 and 144,501.11

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Solution

The third proportional to 65,842.58 and 144,501.11 is: 317,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,842.58 : 144,501.11 = 144,501.11 : x
  2. Step 2: Convert to fraction form
    65,842.58/144,501.11 = 144,501.11/x
  3. Step 3: Cross multiply
    65,842.58x = 144,501.11 × 144,501.11
  4. Step 4: Simplify right side
    65,842.58x = 20,880,570,328.38
  5. Step 5: Solve for x
    x = 20,880,570,328.38/65,842.58
  6. Step 6: Final answer
    x = 317,128.70

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Why These Related Problems?

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