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Finding the Third Proportional to 42,135 and 97,297.50

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Solution

The third proportional to 42,135 and 97,297.50 is: 224,677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,135 : 97,297.50 = 97,297.50 : x
  2. Step 2: Convert to fraction form
    42,135/97,297.50 = 97,297.50/x
  3. Step 3: Cross multiply
    42,135x = 97,297.50 × 97,297.50
  4. Step 4: Simplify right side
    42,135x = 9,466,803,506.25
  5. Step 5: Solve for x
    x = 9,466,803,506.25/42,135
  6. Step 6: Final answer
    x = 224,677.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.