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Finding the Third Proportional to 102,265 and 148,840

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Solution

The third proportional to 102,265 and 148,840 is: 216,626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,265 : 148,840 = 148,840 : x
  2. Step 2: Convert to fraction form
    102,265/148,840 = 148,840/x
  3. Step 3: Cross multiply
    102,265x = 148,840 × 148,840
  4. Step 4: Simplify right side
    102,265x = 22,153,345,600
  5. Step 5: Solve for x
    x = 22,153,345,600/102,265
  6. Step 6: Final answer
    x = 216,626.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.