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Finding the Third Proportional to 72,064 and 97,008

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Solution

The third proportional to 72,064 and 97,008 is: 130,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,064 : 97,008 = 97,008 : x
  2. Step 2: Convert to fraction form
    72,064/97,008 = 97,008/x
  3. Step 3: Cross multiply
    72,064x = 97,008 × 97,008
  4. Step 4: Simplify right side
    72,064x = 9,410,552,064
  5. Step 5: Solve for x
    x = 9,410,552,064/72,064
  6. Step 6: Final answer
    x = 130,586.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.