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Finding the Third Proportional to 105,496 and 165,840

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Solution

The third proportional to 105,496 and 165,840 is: 260,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,496 : 165,840 = 165,840 : x
  2. Step 2: Convert to fraction form
    105,496/165,840 = 165,840/x
  3. Step 3: Cross multiply
    105,496x = 165,840 × 165,840
  4. Step 4: Simplify right side
    105,496x = 27,502,905,600
  5. Step 5: Solve for x
    x = 27,502,905,600/105,496
  6. Step 6: Final answer
    x = 260,700.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.