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Finding the Third Proportional to 53,658 and 78,840

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Solution

The third proportional to 53,658 and 78,840 is: 115,840.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,658 : 78,840 = 78,840 : x
  2. Step 2: Convert to fraction form
    53,658/78,840 = 78,840/x
  3. Step 3: Cross multiply
    53,658x = 78,840 × 78,840
  4. Step 4: Simplify right side
    53,658x = 6,215,745,600
  5. Step 5: Solve for x
    x = 6,215,745,600/53,658
  6. Step 6: Final answer
    x = 115,840.05

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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.