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Finding the Third Proportional to 97,038 and 145,152

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Solution

The third proportional to 97,038 and 145,152 is: 217,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,038 : 145,152 = 145,152 : x
  2. Step 2: Convert to fraction form
    97,038/145,152 = 145,152/x
  3. Step 3: Cross multiply
    97,038x = 145,152 × 145,152
  4. Step 4: Simplify right side
    97,038x = 21,069,103,104
  5. Step 5: Solve for x
    x = 21,069,103,104/97,038
  6. Step 6: Final answer
    x = 217,122.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.