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Finding the Third Proportional to 62,158 and 93,237

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Solution

The third proportional to 62,158 and 93,237 is: 139,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,158 : 93,237 = 93,237 : x
  2. Step 2: Convert to fraction form
    62,158/93,237 = 93,237/x
  3. Step 3: Cross multiply
    62,158x = 93,237 × 93,237
  4. Step 4: Simplify right side
    62,158x = 8,693,138,169
  5. Step 5: Solve for x
    x = 8,693,138,169/62,158
  6. Step 6: Final answer
    x = 139,855.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.