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Finding the Third Proportional to 147,071 and 207,106

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Solution

The third proportional to 147,071 and 207,106 is: 291,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,071 : 207,106 = 207,106 : x
  2. Step 2: Convert to fraction form
    147,071/207,106 = 207,106/x
  3. Step 3: Cross multiply
    147,071x = 207,106 × 207,106
  4. Step 4: Simplify right side
    147,071x = 42,892,895,236
  5. Step 5: Solve for x
    x = 42,892,895,236/147,071
  6. Step 6: Final answer
    x = 291,647.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.