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Finding the Third Proportional to 106,023 and 163,953

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Solution

The third proportional to 106,023 and 163,953 is: 253,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,023 : 163,953 = 163,953 : x
  2. Step 2: Convert to fraction form
    106,023/163,953 = 163,953/x
  3. Step 3: Cross multiply
    106,023x = 163,953 × 163,953
  4. Step 4: Simplify right side
    106,023x = 26,880,586,209
  5. Step 5: Solve for x
    x = 26,880,586,209/106,023
  6. Step 6: Final answer
    x = 253,535.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.