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Finding the Third Proportional to 89,210.25 and 130,465.13

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Solution

The third proportional to 89,210.25 and 130,465.13 is: 190,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,210.25 : 130,465.13 = 130,465.13 : x
  2. Step 2: Convert to fraction form
    89,210.25/130,465.13 = 130,465.13/x
  3. Step 3: Cross multiply
    89,210.25x = 130,465.13 × 130,465.13
  4. Step 4: Simplify right side
    89,210.25x = 17,021,148,841.27
  5. Step 5: Solve for x
    x = 17,021,148,841.27/89,210.25
  6. Step 6: Final answer
    x = 190,798.13

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Why These Related Problems?

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