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Finding the Third Proportional to 96,316 and 141,685

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Solution

The third proportional to 96,316 and 141,685 is: 208,424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,316 : 141,685 = 141,685 : x
  2. Step 2: Convert to fraction form
    96,316/141,685 = 141,685/x
  3. Step 3: Cross multiply
    96,316x = 141,685 × 141,685
  4. Step 4: Simplify right side
    96,316x = 20,074,639,225
  5. Step 5: Solve for x
    x = 20,074,639,225/96,316
  6. Step 6: Final answer
    x = 208,424.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.