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Finding the Third Proportional to 95,653 and 121,281.50

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Solution

The third proportional to 95,653 and 121,281.50 is: 153,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,653 : 121,281.50 = 121,281.50 : x
  2. Step 2: Convert to fraction form
    95,653/121,281.50 = 121,281.50/x
  3. Step 3: Cross multiply
    95,653x = 121,281.50 × 121,281.50
  4. Step 4: Simplify right side
    95,653x = 14,709,202,242.25
  5. Step 5: Solve for x
    x = 14,709,202,242.25/95,653
  6. Step 6: Final answer
    x = 153,776.70

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.