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Finding the Third Proportional to 98,525.25 and 152,870.63

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Solution

The third proportional to 98,525.25 and 152,870.63 is: 237,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,525.25 : 152,870.63 = 152,870.63 : x
  2. Step 2: Convert to fraction form
    98,525.25/152,870.63 = 152,870.63/x
  3. Step 3: Cross multiply
    98,525.25x = 152,870.63 × 152,870.63
  4. Step 4: Simplify right side
    98,525.25x = 23,369,427,987.89
  5. Step 5: Solve for x
    x = 23,369,427,987.89/98,525.25
  6. Step 6: Final answer
    x = 237,192.27

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