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Finding the Third Proportional to 65,073 and 98,429

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Solution

The third proportional to 65,073 and 98,429 is: 148,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,073 : 98,429 = 98,429 : x
  2. Step 2: Convert to fraction form
    65,073/98,429 = 98,429/x
  3. Step 3: Cross multiply
    65,073x = 98,429 × 98,429
  4. Step 4: Simplify right side
    65,073x = 9,688,268,041
  5. Step 5: Solve for x
    x = 9,688,268,041/65,073
  6. Step 6: Final answer
    x = 148,883.07

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