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Finding the Third Proportional to 92,248.50 and 146,716.50

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Solution

The third proportional to 92,248.50 and 146,716.50 is: 233,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,248.50 : 146,716.50 = 146,716.50 : x
  2. Step 2: Convert to fraction form
    92,248.50/146,716.50 = 146,716.50/x
  3. Step 3: Cross multiply
    92,248.50x = 146,716.50 × 146,716.50
  4. Step 4: Simplify right side
    92,248.50x = 21,525,731,372.25
  5. Step 5: Solve for x
    x = 21,525,731,372.25/92,248.50
  6. Step 6: Final answer
    x = 233,345.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.