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Finding the Third Proportional to 77,106.70 and 115,018.26

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Solution

The third proportional to 77,106.70 and 115,018.26 is: 171,570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,106.70 : 115,018.26 = 115,018.26 : x
  2. Step 2: Convert to fraction form
    77,106.70/115,018.26 = 115,018.26/x
  3. Step 3: Cross multiply
    77,106.70x = 115,018.26 × 115,018.26
  4. Step 4: Simplify right side
    77,106.70x = 13,229,200,079.51
  5. Step 5: Solve for x
    x = 13,229,200,079.51/77,106.70
  6. Step 6: Final answer
    x = 171,570.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.