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Finding the Third Proportional to 104,890.59 and 161,317.78

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Solution

The third proportional to 104,890.59 and 161,317.78 is: 248,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,890.59 : 161,317.78 = 161,317.78 : x
  2. Step 2: Convert to fraction form
    104,890.59/161,317.78 = 161,317.78/x
  3. Step 3: Cross multiply
    104,890.59x = 161,317.78 × 161,317.78
  4. Step 4: Simplify right side
    104,890.59x = 26,023,426,547.42
  5. Step 5: Solve for x
    x = 26,023,426,547.42/104,890.59
  6. Step 6: Final answer
    x = 248,100.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.