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Finding the Third Proportional to 56,598.75 and 89,547.19

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Solution

The third proportional to 56,598.75 and 89,547.19 is: 141,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,598.75 : 89,547.19 = 89,547.19 : x
  2. Step 2: Convert to fraction form
    56,598.75/89,547.19 = 89,547.19/x
  3. Step 3: Cross multiply
    56,598.75x = 89,547.19 × 89,547.19
  4. Step 4: Simplify right side
    56,598.75x = 8,018,698,789.16
  5. Step 5: Solve for x
    x = 8,018,698,789.16/56,598.75
  6. Step 6: Final answer
    x = 141,676.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.