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Finding the Third Proportional to 122,475 and 175,510.50

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Solution

The third proportional to 122,475 and 175,510.50 is: 251,512.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,475 : 175,510.50 = 175,510.50 : x
  2. Step 2: Convert to fraction form
    122,475/175,510.50 = 175,510.50/x
  3. Step 3: Cross multiply
    122,475x = 175,510.50 × 175,510.50
  4. Step 4: Simplify right side
    122,475x = 30,803,935,610.25
  5. Step 5: Solve for x
    x = 30,803,935,610.25/122,475
  6. Step 6: Final answer
    x = 251,512.03

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