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Finding the Third Proportional to 60,206 and 95,411.50

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Solution

The third proportional to 60,206 and 95,411.50 is: 151,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,206 : 95,411.50 = 95,411.50 : x
  2. Step 2: Convert to fraction form
    60,206/95,411.50 = 95,411.50/x
  3. Step 3: Cross multiply
    60,206x = 95,411.50 × 95,411.50
  4. Step 4: Simplify right side
    60,206x = 9,103,354,332.25
  5. Step 5: Solve for x
    x = 9,103,354,332.25/60,206
  6. Step 6: Final answer
    x = 151,203.44

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.