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Finding the Third Proportional to 107,040 and 164,585

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Solution

The third proportional to 107,040 and 164,585 is: 253,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,040 : 164,585 = 164,585 : x
  2. Step 2: Convert to fraction form
    107,040/164,585 = 164,585/x
  3. Step 3: Cross multiply
    107,040x = 164,585 × 164,585
  4. Step 4: Simplify right side
    107,040x = 27,088,222,225
  5. Step 5: Solve for x
    x = 27,088,222,225/107,040
  6. Step 6: Final answer
    x = 253,066.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.