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Finding the Third Proportional to 97,300.50 and 124,329

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Solution

The third proportional to 97,300.50 and 124,329 is: 158,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,300.50 : 124,329 = 124,329 : x
  2. Step 2: Convert to fraction form
    97,300.50/124,329 = 124,329/x
  3. Step 3: Cross multiply
    97,300.50x = 124,329 × 124,329
  4. Step 4: Simplify right side
    97,300.50x = 15,457,700,241
  5. Step 5: Solve for x
    x = 15,457,700,241/97,300.50
  6. Step 6: Final answer
    x = 158,865.58

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.