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Finding the Third Proportional to 63,025 and 97,575

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Solution

The third proportional to 63,025 and 97,575 is: 151,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,025 : 97,575 = 97,575 : x
  2. Step 2: Convert to fraction form
    63,025/97,575 = 97,575/x
  3. Step 3: Cross multiply
    63,025x = 97,575 × 97,575
  4. Step 4: Simplify right side
    63,025x = 9,520,880,625
  5. Step 5: Solve for x
    x = 9,520,880,625/63,025
  6. Step 6: Final answer
    x = 151,065.14

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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.