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Finding the Third Proportional to 128,290 and 191,066

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Solution

The third proportional to 128,290 and 191,066 is: 284,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,290 : 191,066 = 191,066 : x
  2. Step 2: Convert to fraction form
    128,290/191,066 = 191,066/x
  3. Step 3: Cross multiply
    128,290x = 191,066 × 191,066
  4. Step 4: Simplify right side
    128,290x = 36,506,216,356
  5. Step 5: Solve for x
    x = 36,506,216,356/128,290
  6. Step 6: Final answer
    x = 284,560.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.