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Finding the Third Proportional to 89,730 and 130,699.50

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Solution

The third proportional to 89,730 and 130,699.50 is: 190,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,730 : 130,699.50 = 130,699.50 : x
  2. Step 2: Convert to fraction form
    89,730/130,699.50 = 130,699.50/x
  3. Step 3: Cross multiply
    89,730x = 130,699.50 × 130,699.50
  4. Step 4: Simplify right side
    89,730x = 17,082,359,300.25
  5. Step 5: Solve for x
    x = 17,082,359,300.25/89,730
  6. Step 6: Final answer
    x = 190,375.12

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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.