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Finding the Third Proportional to 69,480 and 94,148

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Solution

The third proportional to 69,480 and 94,148 is: 127,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,480 : 94,148 = 94,148 : x
  2. Step 2: Convert to fraction form
    69,480/94,148 = 94,148/x
  3. Step 3: Cross multiply
    69,480x = 94,148 × 94,148
  4. Step 4: Simplify right side
    69,480x = 8,863,845,904
  5. Step 5: Solve for x
    x = 8,863,845,904/69,480
  6. Step 6: Final answer
    x = 127,574.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.