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Finding the Third Proportional to 65,506 and 98,803

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Solution

The third proportional to 65,506 and 98,803 is: 149,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,506 : 98,803 = 98,803 : x
  2. Step 2: Convert to fraction form
    65,506/98,803 = 98,803/x
  3. Step 3: Cross multiply
    65,506x = 98,803 × 98,803
  4. Step 4: Simplify right side
    65,506x = 9,762,032,809
  5. Step 5: Solve for x
    x = 9,762,032,809/65,506
  6. Step 6: Final answer
    x = 149,025.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.