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Finding the Third Proportional to 84,548 and 127,148

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Solution

The third proportional to 84,548 and 127,148 is: 191,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,548 : 127,148 = 127,148 : x
  2. Step 2: Convert to fraction form
    84,548/127,148 = 127,148/x
  3. Step 3: Cross multiply
    84,548x = 127,148 × 127,148
  4. Step 4: Simplify right side
    84,548x = 16,166,613,904
  5. Step 5: Solve for x
    x = 16,166,613,904/84,548
  6. Step 6: Final answer
    x = 191,212.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.