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Finding the Third Proportional to 77,663.50 and 119,335

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Solution

The third proportional to 77,663.50 and 119,335 is: 183,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,663.50 : 119,335 = 119,335 : x
  2. Step 2: Convert to fraction form
    77,663.50/119,335 = 119,335/x
  3. Step 3: Cross multiply
    77,663.50x = 119,335 × 119,335
  4. Step 4: Simplify right side
    77,663.50x = 14,240,842,225
  5. Step 5: Solve for x
    x = 14,240,842,225/77,663.50
  6. Step 6: Final answer
    x = 183,365.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.