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Finding the Third Proportional to 88,261 and 134,700

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Solution

The third proportional to 88,261 and 134,700 is: 205,573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,261 : 134,700 = 134,700 : x
  2. Step 2: Convert to fraction form
    88,261/134,700 = 134,700/x
  3. Step 3: Cross multiply
    88,261x = 134,700 × 134,700
  4. Step 4: Simplify right side
    88,261x = 18,144,090,000
  5. Step 5: Solve for x
    x = 18,144,090,000/88,261
  6. Step 6: Final answer
    x = 205,573.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.