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Finding the Third Proportional to 58,028 and 78,296

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Solution

The third proportional to 58,028 and 78,296 is: 105,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,028 : 78,296 = 78,296 : x
  2. Step 2: Convert to fraction form
    58,028/78,296 = 78,296/x
  3. Step 3: Cross multiply
    58,028x = 78,296 × 78,296
  4. Step 4: Simplify right side
    58,028x = 6,130,263,616
  5. Step 5: Solve for x
    x = 6,130,263,616/58,028
  6. Step 6: Final answer
    x = 105,643.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.