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Finding the Third Proportional to 87,547.50 and 130,045.50

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Solution

The third proportional to 87,547.50 and 130,045.50 is: 193,173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,547.50 : 130,045.50 = 130,045.50 : x
  2. Step 2: Convert to fraction form
    87,547.50/130,045.50 = 130,045.50/x
  3. Step 3: Cross multiply
    87,547.50x = 130,045.50 × 130,045.50
  4. Step 4: Simplify right side
    87,547.50x = 16,911,832,070.25
  5. Step 5: Solve for x
    x = 16,911,832,070.25/87,547.50
  6. Step 6: Final answer
    x = 193,173.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.