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Finding the Third Proportional to 89,312 and 130,530

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Solution

The third proportional to 89,312 and 130,530 is: 190,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,312 : 130,530 = 130,530 : x
  2. Step 2: Convert to fraction form
    89,312/130,530 = 130,530/x
  3. Step 3: Cross multiply
    89,312x = 130,530 × 130,530
  4. Step 4: Simplify right side
    89,312x = 17,038,080,900
  5. Step 5: Solve for x
    x = 17,038,080,900/89,312
  6. Step 6: Final answer
    x = 190,770.34

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.