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Finding the Third Proportional to 72,547.50 and 112,101

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Solution

The third proportional to 72,547.50 and 112,101 is: 173,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,547.50 : 112,101 = 112,101 : x
  2. Step 2: Convert to fraction form
    72,547.50/112,101 = 112,101/x
  3. Step 3: Cross multiply
    72,547.50x = 112,101 × 112,101
  4. Step 4: Simplify right side
    72,547.50x = 12,566,634,201
  5. Step 5: Solve for x
    x = 12,566,634,201/72,547.50
  6. Step 6: Final answer
    x = 173,219.40

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