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Finding the Third Proportional to 106,101 and 153,440

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Solution

The third proportional to 106,101 and 153,440 is: 221,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,101 : 153,440 = 153,440 : x
  2. Step 2: Convert to fraction form
    106,101/153,440 = 153,440/x
  3. Step 3: Cross multiply
    106,101x = 153,440 × 153,440
  4. Step 4: Simplify right side
    106,101x = 23,543,833,600
  5. Step 5: Solve for x
    x = 23,543,833,600/106,101
  6. Step 6: Final answer
    x = 221,900.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.