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Finding the Third Proportional to 117,040 and 176,594

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Solution

The third proportional to 117,040 and 176,594 is: 266,451.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,040 : 176,594 = 176,594 : x
  2. Step 2: Convert to fraction form
    117,040/176,594 = 176,594/x
  3. Step 3: Cross multiply
    117,040x = 176,594 × 176,594
  4. Step 4: Simplify right side
    117,040x = 31,185,440,836
  5. Step 5: Solve for x
    x = 31,185,440,836/117,040
  6. Step 6: Final answer
    x = 266,451.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.