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Finding the Third Proportional to 103,974 and 148,688

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Solution

The third proportional to 103,974 and 148,688 is: 212,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,974 : 148,688 = 148,688 : x
  2. Step 2: Convert to fraction form
    103,974/148,688 = 148,688/x
  3. Step 3: Cross multiply
    103,974x = 148,688 × 148,688
  4. Step 4: Simplify right side
    103,974x = 22,108,121,344
  5. Step 5: Solve for x
    x = 22,108,121,344/103,974
  6. Step 6: Final answer
    x = 212,631.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.