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Finding the Third Proportional to 98,573.63 and 160,164

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Solution

The third proportional to 98,573.63 and 160,164 is: 260,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,573.63 : 160,164 = 160,164 : x
  2. Step 2: Convert to fraction form
    98,573.63/160,164 = 160,164/x
  3. Step 3: Cross multiply
    98,573.63x = 160,164 × 160,164
  4. Step 4: Simplify right side
    98,573.63x = 25,652,506,896
  5. Step 5: Solve for x
    x = 25,652,506,896/98,573.63
  6. Step 6: Final answer
    x = 260,237.02

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.