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Finding the Third Proportional to 85,260 and 127,362

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Solution

The third proportional to 85,260 and 127,362 is: 190,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,260 : 127,362 = 127,362 : x
  2. Step 2: Convert to fraction form
    85,260/127,362 = 127,362/x
  3. Step 3: Cross multiply
    85,260x = 127,362 × 127,362
  4. Step 4: Simplify right side
    85,260x = 16,221,079,044
  5. Step 5: Solve for x
    x = 16,221,079,044/85,260
  6. Step 6: Final answer
    x = 190,254.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.