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Finding the Third Proportional to 59,157 and 88,762.50

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Solution

The third proportional to 59,157 and 88,762.50 is: 133,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,157 : 88,762.50 = 88,762.50 : x
  2. Step 2: Convert to fraction form
    59,157/88,762.50 = 88,762.50/x
  3. Step 3: Cross multiply
    59,157x = 88,762.50 × 88,762.50
  4. Step 4: Simplify right side
    59,157x = 7,878,781,406.25
  5. Step 5: Solve for x
    x = 7,878,781,406.25/59,157
  6. Step 6: Final answer
    x = 133,184.26

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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.