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Finding the Third Proportional to 76,688 and 117,712

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Solution

The third proportional to 76,688 and 117,712 is: 180,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,688 : 117,712 = 117,712 : x
  2. Step 2: Convert to fraction form
    76,688/117,712 = 117,712/x
  3. Step 3: Cross multiply
    76,688x = 117,712 × 117,712
  4. Step 4: Simplify right side
    76,688x = 13,856,114,944
  5. Step 5: Solve for x
    x = 13,856,114,944/76,688
  6. Step 6: Final answer
    x = 180,681.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.