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Finding the Third Proportional to 101,706 and 154,641

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Solution

The third proportional to 101,706 and 154,641 is: 235,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,706 : 154,641 = 154,641 : x
  2. Step 2: Convert to fraction form
    101,706/154,641 = 154,641/x
  3. Step 3: Cross multiply
    101,706x = 154,641 × 154,641
  4. Step 4: Simplify right side
    101,706x = 23,913,838,881
  5. Step 5: Solve for x
    x = 23,913,838,881/101,706
  6. Step 6: Final answer
    x = 235,127.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.