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Finding the Third Proportional to 103,065 and 163,948

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Solution

The third proportional to 103,065 and 163,948 is: 260,796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,065 : 163,948 = 163,948 : x
  2. Step 2: Convert to fraction form
    103,065/163,948 = 163,948/x
  3. Step 3: Cross multiply
    103,065x = 163,948 × 163,948
  4. Step 4: Simplify right side
    103,065x = 26,878,946,704
  5. Step 5: Solve for x
    x = 26,878,946,704/103,065
  6. Step 6: Final answer
    x = 260,796.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.