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Finding the Third Proportional to 121,548 and 186,580

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Solution

The third proportional to 121,548 and 186,580 is: 286,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,548 : 186,580 = 186,580 : x
  2. Step 2: Convert to fraction form
    121,548/186,580 = 186,580/x
  3. Step 3: Cross multiply
    121,548x = 186,580 × 186,580
  4. Step 4: Simplify right side
    121,548x = 34,812,096,400
  5. Step 5: Solve for x
    x = 34,812,096,400/121,548
  6. Step 6: Final answer
    x = 286,406.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.