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Finding the Third Proportional to 77,971.50 and 169,054.50

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Solution

The third proportional to 77,971.50 and 169,054.50 is: 366,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,971.50 : 169,054.50 = 169,054.50 : x
  2. Step 2: Convert to fraction form
    77,971.50/169,054.50 = 169,054.50/x
  3. Step 3: Cross multiply
    77,971.50x = 169,054.50 × 169,054.50
  4. Step 4: Simplify right side
    77,971.50x = 28,579,423,970.25
  5. Step 5: Solve for x
    x = 28,579,423,970.25/77,971.50
  6. Step 6: Final answer
    x = 366,536.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.