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Finding the Third Proportional to 65,701.13 and 141,699.38

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Solution

The third proportional to 65,701.13 and 141,699.38 is: 305,606.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,701.13 : 141,699.38 = 141,699.38 : x
  2. Step 2: Convert to fraction form
    65,701.13/141,699.38 = 141,699.38/x
  3. Step 3: Cross multiply
    65,701.13x = 141,699.38 × 141,699.38
  4. Step 4: Simplify right side
    65,701.13x = 20,078,712,875.39
  5. Step 5: Solve for x
    x = 20,078,712,875.39/65,701.13
  6. Step 6: Final answer
    x = 305,606.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.