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Finding the Third Proportional to 76,345.50 and 118,881

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Solution

The third proportional to 76,345.50 and 118,881 is: 185,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,345.50 : 118,881 = 118,881 : x
  2. Step 2: Convert to fraction form
    76,345.50/118,881 = 118,881/x
  3. Step 3: Cross multiply
    76,345.50x = 118,881 × 118,881
  4. Step 4: Simplify right side
    76,345.50x = 14,132,692,161
  5. Step 5: Solve for x
    x = 14,132,692,161/76,345.50
  6. Step 6: Final answer
    x = 185,114.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.