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Finding the Third Proportional to 90,966.94 and 130,257

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Solution

The third proportional to 90,966.94 and 130,257 is: 186,517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,966.94 : 130,257 = 130,257 : x
  2. Step 2: Convert to fraction form
    90,966.94/130,257 = 130,257/x
  3. Step 3: Cross multiply
    90,966.94x = 130,257 × 130,257
  4. Step 4: Simplify right side
    90,966.94x = 16,966,886,049
  5. Step 5: Solve for x
    x = 16,966,886,049/90,966.94
  6. Step 6: Final answer
    x = 186,517.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.