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Finding the Third Proportional to 131,988 and 212,509.50

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Solution

The third proportional to 131,988 and 212,509.50 is: 342,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,988 : 212,509.50 = 212,509.50 : x
  2. Step 2: Convert to fraction form
    131,988/212,509.50 = 212,509.50/x
  3. Step 3: Cross multiply
    131,988x = 212,509.50 × 212,509.50
  4. Step 4: Simplify right side
    131,988x = 45,160,287,590.25
  5. Step 5: Solve for x
    x = 45,160,287,590.25/131,988
  6. Step 6: Final answer
    x = 342,154.50

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.