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Finding the Third Proportional to 117,034 and 176,585

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Solution

The third proportional to 117,034 and 176,585 is: 266,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,034 : 176,585 = 176,585 : x
  2. Step 2: Convert to fraction form
    117,034/176,585 = 176,585/x
  3. Step 3: Cross multiply
    117,034x = 176,585 × 176,585
  4. Step 4: Simplify right side
    117,034x = 31,182,262,225
  5. Step 5: Solve for x
    x = 31,182,262,225/117,034
  6. Step 6: Final answer
    x = 266,437.64

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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.