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Finding the Third Proportional to 62,403 and 89,237

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Solution

The third proportional to 62,403 and 89,237 is: 127,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,403 : 89,237 = 89,237 : x
  2. Step 2: Convert to fraction form
    62,403/89,237 = 89,237/x
  3. Step 3: Cross multiply
    62,403x = 89,237 × 89,237
  4. Step 4: Simplify right side
    62,403x = 7,963,242,169
  5. Step 5: Solve for x
    x = 7,963,242,169/62,403
  6. Step 6: Final answer
    x = 127,609.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.