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Finding the Third Proportional to 97,737 and 130,728

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Solution

The third proportional to 97,737 and 130,728 is: 174,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,737 : 130,728 = 130,728 : x
  2. Step 2: Convert to fraction form
    97,737/130,728 = 130,728/x
  3. Step 3: Cross multiply
    97,737x = 130,728 × 130,728
  4. Step 4: Simplify right side
    97,737x = 17,089,809,984
  5. Step 5: Solve for x
    x = 17,089,809,984/97,737
  6. Step 6: Final answer
    x = 174,855.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.