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Finding the Third Proportional to 77,309 and 112,683

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Solution

The third proportional to 77,309 and 112,683 is: 164,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309 : 112,683 = 112,683 : x
  2. Step 2: Convert to fraction form
    77,309/112,683 = 112,683/x
  3. Step 3: Cross multiply
    77,309x = 112,683 × 112,683
  4. Step 4: Simplify right side
    77,309x = 12,697,458,489
  5. Step 5: Solve for x
    x = 12,697,458,489/77,309
  6. Step 6: Final answer
    x = 164,242.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.