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Finding the Third Proportional to 107,008 and 163,362

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Solution

The third proportional to 107,008 and 163,362 is: 249,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,008 : 163,362 = 163,362 : x
  2. Step 2: Convert to fraction form
    107,008/163,362 = 163,362/x
  3. Step 3: Cross multiply
    107,008x = 163,362 × 163,362
  4. Step 4: Simplify right side
    107,008x = 26,687,143,044
  5. Step 5: Solve for x
    x = 26,687,143,044/107,008
  6. Step 6: Final answer
    x = 249,393.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.