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Finding the Third Proportional to 76,641 and 119,617.50

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Solution

The third proportional to 76,641 and 119,617.50 is: 186,693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,641 : 119,617.50 = 119,617.50 : x
  2. Step 2: Convert to fraction form
    76,641/119,617.50 = 119,617.50/x
  3. Step 3: Cross multiply
    76,641x = 119,617.50 × 119,617.50
  4. Step 4: Simplify right side
    76,641x = 14,308,346,306.25
  5. Step 5: Solve for x
    x = 14,308,346,306.25/76,641
  6. Step 6: Final answer
    x = 186,693.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.