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Finding the Third Proportional to 117,421.50 and 157,297.50

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Solution

The third proportional to 117,421.50 and 157,297.50 is: 210,715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,421.50 : 157,297.50 = 157,297.50 : x
  2. Step 2: Convert to fraction form
    117,421.50/157,297.50 = 157,297.50/x
  3. Step 3: Cross multiply
    117,421.50x = 157,297.50 × 157,297.50
  4. Step 4: Simplify right side
    117,421.50x = 24,742,503,506.25
  5. Step 5: Solve for x
    x = 24,742,503,506.25/117,421.50
  6. Step 6: Final answer
    x = 210,715.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.