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Finding the Third Proportional to 98,764 and 141,133

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Solution

The third proportional to 98,764 and 141,133 is: 201,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,764 : 141,133 = 141,133 : x
  2. Step 2: Convert to fraction form
    98,764/141,133 = 141,133/x
  3. Step 3: Cross multiply
    98,764x = 141,133 × 141,133
  4. Step 4: Simplify right side
    98,764x = 19,918,523,689
  5. Step 5: Solve for x
    x = 19,918,523,689/98,764
  6. Step 6: Final answer
    x = 201,677.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.