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Finding the Third Proportional to 65,094 and 97,641

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Solution

The third proportional to 65,094 and 97,641 is: 146,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,094 : 97,641 = 97,641 : x
  2. Step 2: Convert to fraction form
    65,094/97,641 = 97,641/x
  3. Step 3: Cross multiply
    65,094x = 97,641 × 97,641
  4. Step 4: Simplify right side
    65,094x = 9,533,764,881
  5. Step 5: Solve for x
    x = 9,533,764,881/65,094
  6. Step 6: Final answer
    x = 146,461.50

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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.