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Finding the Third Proportional to 58,239 and 78,043.50

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Solution

The third proportional to 58,239 and 78,043.50 is: 104,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,239 : 78,043.50 = 78,043.50 : x
  2. Step 2: Convert to fraction form
    58,239/78,043.50 = 78,043.50/x
  3. Step 3: Cross multiply
    58,239x = 78,043.50 × 78,043.50
  4. Step 4: Simplify right side
    58,239x = 6,090,787,892.25
  5. Step 5: Solve for x
    x = 6,090,787,892.25/58,239
  6. Step 6: Final answer
    x = 104,582.63

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.