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Finding the Third Proportional to 119,023 and 163,209

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Solution

The third proportional to 119,023 and 163,209 is: 223,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,023 : 163,209 = 163,209 : x
  2. Step 2: Convert to fraction form
    119,023/163,209 = 163,209/x
  3. Step 3: Cross multiply
    119,023x = 163,209 × 163,209
  4. Step 4: Simplify right side
    119,023x = 26,637,177,681
  5. Step 5: Solve for x
    x = 26,637,177,681/119,023
  6. Step 6: Final answer
    x = 223,798.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.