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Finding the Third Proportional to 52,305 and 78,575

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Solution

The third proportional to 52,305 and 78,575 is: 118,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,305 : 78,575 = 78,575 : x
  2. Step 2: Convert to fraction form
    52,305/78,575 = 78,575/x
  3. Step 3: Cross multiply
    52,305x = 78,575 × 78,575
  4. Step 4: Simplify right side
    52,305x = 6,174,030,625
  5. Step 5: Solve for x
    x = 6,174,030,625/52,305
  6. Step 6: Final answer
    x = 118,039.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.