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Finding the Third Proportional to 98,639 and 154,529.50

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Solution

The third proportional to 98,639 and 154,529.50 is: 242,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,639 : 154,529.50 = 154,529.50 : x
  2. Step 2: Convert to fraction form
    98,639/154,529.50 = 154,529.50/x
  3. Step 3: Cross multiply
    98,639x = 154,529.50 × 154,529.50
  4. Step 4: Simplify right side
    98,639x = 23,879,366,370.25
  5. Step 5: Solve for x
    x = 23,879,366,370.25/98,639
  6. Step 6: Final answer
    x = 242,088.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.