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Finding the Third Proportional to 84,547.13 and 131,095.13

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Solution

The third proportional to 84,547.13 and 131,095.13 is: 203,270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,547.13 : 131,095.13 = 131,095.13 : x
  2. Step 2: Convert to fraction form
    84,547.13/131,095.13 = 131,095.13/x
  3. Step 3: Cross multiply
    84,547.13x = 131,095.13 × 131,095.13
  4. Step 4: Simplify right side
    84,547.13x = 17,185,931,798.77
  5. Step 5: Solve for x
    x = 17,185,931,798.77/84,547.13
  6. Step 6: Final answer
    x = 203,270.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.