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Finding the Third Proportional to 73,293 and 112,309.50

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Solution

The third proportional to 73,293 and 112,309.50 is: 172,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,293 : 112,309.50 = 112,309.50 : x
  2. Step 2: Convert to fraction form
    73,293/112,309.50 = 112,309.50/x
  3. Step 3: Cross multiply
    73,293x = 112,309.50 × 112,309.50
  4. Step 4: Simplify right side
    73,293x = 12,613,423,790.25
  5. Step 5: Solve for x
    x = 12,613,423,790.25/73,293
  6. Step 6: Final answer
    x = 172,095.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.