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Finding the Third Proportional to 60,090.50 and 93,415

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Solution

The third proportional to 60,090.50 and 93,415 is: 145,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,090.50 : 93,415 = 93,415 : x
  2. Step 2: Convert to fraction form
    60,090.50/93,415 = 93,415/x
  3. Step 3: Cross multiply
    60,090.50x = 93,415 × 93,415
  4. Step 4: Simplify right side
    60,090.50x = 8,726,362,225
  5. Step 5: Solve for x
    x = 8,726,362,225/60,090.50
  6. Step 6: Final answer
    x = 145,220.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.