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Finding the Third Proportional to 52,088.91 and 77,790.38

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Solution

The third proportional to 52,088.91 and 77,790.38 is: 116,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,088.91 : 77,790.38 = 77,790.38 : x
  2. Step 2: Convert to fraction form
    52,088.91/77,790.38 = 77,790.38/x
  3. Step 3: Cross multiply
    52,088.91x = 77,790.38 × 77,790.38
  4. Step 4: Simplify right side
    52,088.91x = 6,051,342,442.64
  5. Step 5: Solve for x
    x = 6,051,342,442.64/52,088.91
  6. Step 6: Final answer
    x = 116,173.34

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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.