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Finding the Third Proportional to 118,262 and 176,929

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Solution

The third proportional to 118,262 and 176,929 is: 264,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,262 : 176,929 = 176,929 : x
  2. Step 2: Convert to fraction form
    118,262/176,929 = 176,929/x
  3. Step 3: Cross multiply
    118,262x = 176,929 × 176,929
  4. Step 4: Simplify right side
    118,262x = 31,303,871,041
  5. Step 5: Solve for x
    x = 31,303,871,041/118,262
  6. Step 6: Final answer
    x = 264,699.32

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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.