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Finding the Third Proportional to 53,290 and 78,423

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Solution

The third proportional to 53,290 and 78,423 is: 115,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,290 : 78,423 = 78,423 : x
  2. Step 2: Convert to fraction form
    53,290/78,423 = 78,423/x
  3. Step 3: Cross multiply
    53,290x = 78,423 × 78,423
  4. Step 4: Simplify right side
    53,290x = 6,150,166,929
  5. Step 5: Solve for x
    x = 6,150,166,929/53,290
  6. Step 6: Final answer
    x = 115,409.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.