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Finding the Third Proportional to 98,423 and 152,693

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Solution

The third proportional to 98,423 and 152,693 is: 236,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,423 : 152,693 = 152,693 : x
  2. Step 2: Convert to fraction form
    98,423/152,693 = 152,693/x
  3. Step 3: Cross multiply
    98,423x = 152,693 × 152,693
  4. Step 4: Simplify right side
    98,423x = 23,315,152,249
  5. Step 5: Solve for x
    x = 23,315,152,249/98,423
  6. Step 6: Final answer
    x = 236,887.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.