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Finding the Third Proportional to 61,818.75 and 118,710

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Solution

The third proportional to 61,818.75 and 118,710 is: 227,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,818.75 : 118,710 = 118,710 : x
  2. Step 2: Convert to fraction form
    61,818.75/118,710 = 118,710/x
  3. Step 3: Cross multiply
    61,818.75x = 118,710 × 118,710
  4. Step 4: Simplify right side
    61,818.75x = 14,092,064,100
  5. Step 5: Solve for x
    x = 14,092,064,100/61,818.75
  6. Step 6: Final answer
    x = 227,957.77

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.