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Finding the Third Proportional to 52,023 and 78,400.50

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Solution

The third proportional to 52,023 and 78,400.50 is: 118,152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,023 : 78,400.50 = 78,400.50 : x
  2. Step 2: Convert to fraction form
    52,023/78,400.50 = 78,400.50/x
  3. Step 3: Cross multiply
    52,023x = 78,400.50 × 78,400.50
  4. Step 4: Simplify right side
    52,023x = 6,146,638,400.25
  5. Step 5: Solve for x
    x = 6,146,638,400.25/52,023
  6. Step 6: Final answer
    x = 118,152.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.