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Finding the Third Proportional to 58,502.50 and 114,089

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Solution

The third proportional to 58,502.50 and 114,089 is: 222,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,502.50 : 114,089 = 114,089 : x
  2. Step 2: Convert to fraction form
    58,502.50/114,089 = 114,089/x
  3. Step 3: Cross multiply
    58,502.50x = 114,089 × 114,089
  4. Step 4: Simplify right side
    58,502.50x = 13,016,299,921
  5. Step 5: Solve for x
    x = 13,016,299,921/58,502.50
  6. Step 6: Final answer
    x = 222,491.35

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.