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Finding the Third Proportional to 73,575 and 113,688

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Solution

The third proportional to 73,575 and 113,688 is: 175,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,575 : 113,688 = 113,688 : x
  2. Step 2: Convert to fraction form
    73,575/113,688 = 113,688/x
  3. Step 3: Cross multiply
    73,575x = 113,688 × 113,688
  4. Step 4: Simplify right side
    73,575x = 12,924,961,344
  5. Step 5: Solve for x
    x = 12,924,961,344/73,575
  6. Step 6: Final answer
    x = 175,670.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.