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Finding the Third Proportional to 130,430.25 and 174,706.88

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Solution

The third proportional to 130,430.25 and 174,706.88 is: 234,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,430.25 : 174,706.88 = 174,706.88 : x
  2. Step 2: Convert to fraction form
    130,430.25/174,706.88 = 174,706.88/x
  3. Step 3: Cross multiply
    130,430.25x = 174,706.88 × 174,706.88
  4. Step 4: Simplify right side
    130,430.25x = 30,522,492,172.27
  5. Step 5: Solve for x
    x = 30,522,492,172.27/130,430.25
  6. Step 6: Final answer
    x = 234,013.91

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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.