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Finding the Third Proportional to 98,292 and 148,252.50

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Solution

The third proportional to 98,292 and 148,252.50 is: 223,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,292 : 148,252.50 = 148,252.50 : x
  2. Step 2: Convert to fraction form
    98,292/148,252.50 = 148,252.50/x
  3. Step 3: Cross multiply
    98,292x = 148,252.50 × 148,252.50
  4. Step 4: Simplify right side
    98,292x = 21,978,803,756.25
  5. Step 5: Solve for x
    x = 21,978,803,756.25/98,292
  6. Step 6: Final answer
    x = 223,607.25

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Why These Related Problems?

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