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Finding the Third Proportional to 52,094.81 and 77,798.81

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Solution

The third proportional to 52,094.81 and 77,798.81 is: 116,185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,094.81 : 77,798.81 = 77,798.81 : x
  2. Step 2: Convert to fraction form
    52,094.81/77,798.81 = 77,798.81/x
  3. Step 3: Cross multiply
    52,094.81x = 77,798.81 × 77,798.81
  4. Step 4: Simplify right side
    52,094.81x = 6,052,655,226.41
  5. Step 5: Solve for x
    x = 6,052,655,226.41/52,094.81
  6. Step 6: Final answer
    x = 116,185.37

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Why These Related Problems?

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