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Finding the Third Proportional to 58,735.50 and 114,513

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Solution

The third proportional to 58,735.50 and 114,513 is: 223,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,735.50 : 114,513 = 114,513 : x
  2. Step 2: Convert to fraction form
    58,735.50/114,513 = 114,513/x
  3. Step 3: Cross multiply
    58,735.50x = 114,513 × 114,513
  4. Step 4: Simplify right side
    58,735.50x = 13,113,227,169
  5. Step 5: Solve for x
    x = 13,113,227,169/58,735.50
  6. Step 6: Final answer
    x = 223,258.97

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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.