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Finding the Third Proportional to 77,582.81 and 169,700.06

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Solution

The third proportional to 77,582.81 and 169,700.06 is: 371,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,582.81 : 169,700.06 = 169,700.06 : x
  2. Step 2: Convert to fraction form
    77,582.81/169,700.06 = 169,700.06/x
  3. Step 3: Cross multiply
    77,582.81x = 169,700.06 × 169,700.06
  4. Step 4: Simplify right side
    77,582.81x = 28,798,111,212.50
  5. Step 5: Solve for x
    x = 28,798,111,212.50/77,582.81
  6. Step 6: Final answer
    x = 371,191.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.