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Finding the Third Proportional to 97,518 and 145,633.50

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Solution

The third proportional to 97,518 and 145,633.50 is: 217,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,518 : 145,633.50 = 145,633.50 : x
  2. Step 2: Convert to fraction form
    97,518/145,633.50 = 145,633.50/x
  3. Step 3: Cross multiply
    97,518x = 145,633.50 × 145,633.50
  4. Step 4: Simplify right side
    97,518x = 21,209,116,322.25
  5. Step 5: Solve for x
    x = 21,209,116,322.25/97,518
  6. Step 6: Final answer
    x = 217,489.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.