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Finding the Third Proportional to 64,920 and 97,614

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Solution

The third proportional to 64,920 and 97,614 is: 146,772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,920 : 97,614 = 97,614 : x
  2. Step 2: Convert to fraction form
    64,920/97,614 = 97,614/x
  3. Step 3: Cross multiply
    64,920x = 97,614 × 97,614
  4. Step 4: Simplify right side
    64,920x = 9,528,492,996
  5. Step 5: Solve for x
    x = 9,528,492,996/64,920
  6. Step 6: Final answer
    x = 146,772.84

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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.