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Finding the Third Proportional to 116,316 and 157,707

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Solution

The third proportional to 116,316 and 157,707 is: 213,826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,316 : 157,707 = 157,707 : x
  2. Step 2: Convert to fraction form
    116,316/157,707 = 157,707/x
  3. Step 3: Cross multiply
    116,316x = 157,707 × 157,707
  4. Step 4: Simplify right side
    116,316x = 24,871,497,849
  5. Step 5: Solve for x
    x = 24,871,497,849/116,316
  6. Step 6: Final answer
    x = 213,826.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.