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Finding the Third Proportional to 103,561 and 163,685

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Solution

The third proportional to 103,561 and 163,685 is: 258,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,561 : 163,685 = 163,685 : x
  2. Step 2: Convert to fraction form
    103,561/163,685 = 163,685/x
  3. Step 3: Cross multiply
    103,561x = 163,685 × 163,685
  4. Step 4: Simplify right side
    103,561x = 26,792,779,225
  5. Step 5: Solve for x
    x = 26,792,779,225/103,561
  6. Step 6: Final answer
    x = 258,714.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.