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Finding the Third Proportional to 92,097 and 145,557

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Solution

The third proportional to 92,097 and 145,557 is: 230,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,097 : 145,557 = 145,557 : x
  2. Step 2: Convert to fraction form
    92,097/145,557 = 145,557/x
  3. Step 3: Cross multiply
    92,097x = 145,557 × 145,557
  4. Step 4: Simplify right side
    92,097x = 21,186,840,249
  5. Step 5: Solve for x
    x = 21,186,840,249/92,097
  6. Step 6: Final answer
    x = 230,049.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.