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Finding the Third Proportional to 98,690 and 144,037

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Solution

The third proportional to 98,690 and 144,037 is: 210,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,690 : 144,037 = 144,037 : x
  2. Step 2: Convert to fraction form
    98,690/144,037 = 144,037/x
  3. Step 3: Cross multiply
    98,690x = 144,037 × 144,037
  4. Step 4: Simplify right side
    98,690x = 20,746,657,369
  5. Step 5: Solve for x
    x = 20,746,657,369/98,690
  6. Step 6: Final answer
    x = 210,220.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.