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Finding the Third Proportional to 102,886 and 158,363

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Solution

The third proportional to 102,886 and 158,363 is: 243,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,886 : 158,363 = 158,363 : x
  2. Step 2: Convert to fraction form
    102,886/158,363 = 158,363/x
  3. Step 3: Cross multiply
    102,886x = 158,363 × 158,363
  4. Step 4: Simplify right side
    102,886x = 25,078,839,769
  5. Step 5: Solve for x
    x = 25,078,839,769/102,886
  6. Step 6: Final answer
    x = 243,753.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.