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Finding the Third Proportional to 60,090 and 93,415.50

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Solution

The third proportional to 60,090 and 93,415.50 is: 145,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,090 : 93,415.50 = 93,415.50 : x
  2. Step 2: Convert to fraction form
    60,090/93,415.50 = 93,415.50/x
  3. Step 3: Cross multiply
    60,090x = 93,415.50 × 93,415.50
  4. Step 4: Simplify right side
    60,090x = 8,726,455,640.25
  5. Step 5: Solve for x
    x = 8,726,455,640.25/60,090
  6. Step 6: Final answer
    x = 145,223.09

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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.