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Finding the Third Proportional to 65,887 and 141,068

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Solution

The third proportional to 65,887 and 141,068 is: 302,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,887 : 141,068 = 141,068 : x
  2. Step 2: Convert to fraction form
    65,887/141,068 = 141,068/x
  3. Step 3: Cross multiply
    65,887x = 141,068 × 141,068
  4. Step 4: Simplify right side
    65,887x = 19,900,180,624
  5. Step 5: Solve for x
    x = 19,900,180,624/65,887
  6. Step 6: Final answer
    x = 302,035.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.