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Finding the Third Proportional to 43,254 and 62,513

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Solution

The third proportional to 43,254 and 62,513 is: 90,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,254 : 62,513 = 62,513 : x
  2. Step 2: Convert to fraction form
    43,254/62,513 = 62,513/x
  3. Step 3: Cross multiply
    43,254x = 62,513 × 62,513
  4. Step 4: Simplify right side
    43,254x = 3,907,875,169
  5. Step 5: Solve for x
    x = 3,907,875,169/43,254
  6. Step 6: Final answer
    x = 90,347.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.